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Finding the Fourth Proportional to 3,029.02, 4,543.08 and 837.28

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Solution

The fourth proportional to 3,029.02, 4,543.08 and 837.28 is: 1,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.02 : 4,543.08 = 837.28 : x
  2. Step 2: Convert to fraction form
    3,029.02/4,543.08 = 837.28/x
  3. Step 3: Cross multiply
    3,029.02x = 4,543.08 × 837.28
  4. Step 4: Simplify right side
    3,029.02x = 3,803,830.02
  5. Step 5: Solve for x
    x = 3,803,830.02/3,029.02
  6. Step 6: Final answer
    x = 1,255.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.